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Identify the symmetries of the curve r=9-9 sin 0. Then sketch the curve.Graph the curves [ = + 2 cos 0 and r= - 2 sin 0.Graph the following spirals for 0 > 0. a. r=40 b. r= -40 c. A logarithmic spiral, r = e 0/9 10 d. A hyperbolic spiral, r= - 7 e. An equilateral hyperbola, r= + (Use different colors for the two branches.)